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3 years ago

Fifteen us added to product of a number and 6. the result is 9

Mathematics

1 answer:

solong [7]3 years ago

8 0

Answer:

Let y be our number:

6y+15=9

Step-by-step explanation:

Since it is the product, you have to multiply:

Next, you will have to add 15, +15

6y+15

This expression will equal to 9

6y+15=9

Hope This Was Helpful!

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the height of a triangle is 7 cm longer than its base. The area of the triangle is 60 cm². What is the base of the triangle?

Digiron [165]

Base is 8cm, and height is 15 cm

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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454

Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

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side = sqrt(9 ft)^2 = 3 ft

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3 years ago

√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

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1 year ago

Bob can paint a fence in 12 hours, and working with Jen can paint a fence in 4 hours. How long would it have taken Jen to paint

butalik [34]

Answer:

6 hours

Step-by-step explanation:

For Bob

12 hours = 1 fence

1 hour = 1/12 fence

Together Bob and Jen

4 hours = 1 fence

1 hour = 1/4 fence

Now, for Jen:

1 hour = 1/4 - 1/12= 3/12 - 1/12 = 2/12=1/6

Find the amount of time Jen will need:

1/6 fence = 1 hour

1 fence = 6 hour

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3 years ago